Question

Data Set A consists of the 8 numbers listed below. Data Set B consists of the 8 numbers in A and a 9th number, which is greater than 90. How will the mean and the median of B compare to the mean and the median of A ?

62, 76, 76, 80, 82, 87, 94, 96

Answer 1

Adding a number greater than 90 to Data Set A to form Data Set B will increase the mean, and may or may not affect the median, depending on whether the number of values in Set A is even.

Step-by-step explanation:

The question pertains to how the mean and median of Data Set B will compare to Data Set A after an additional number, which is greater than 90, is added to Data Set A. When this new number is added, the mean of Data Set B will increase because the sum of the numbers will increase while the number of values increases by only one.

As for the median, since the added number is greater than 90 and all the values in Data Set A are less than 100, the new number will not affect the middle values of the ordered set if the number of data points in Data Set A is even. However, if Data Set A has an odd number of data points, the median may increase slightly depending on the position of the new value.